Answer:
A. (8, 10)
Step-by-step explanation:
The coordinates of point T are T(5, 2).
To find the coordinates of T' after the described sequence of transformations, first apply the translation (x, y) → (x - 1, y + 3) by subtracting 1 from the x-coordinate and adding 3 to the y-coordinate:
(5 - 1, 2 + 3) = (4, 5)
Now, apply the dilation by a scale factor of 2, centered at the origin. This means we multiply both coordinates by 2: (x, y) → (2x, 2y)
T' = (2(4), 2(5))
T' = (8, 10)
Therefore, the coordinates of T' after the translation and dilation are:
[tex]\LARGE\boxed{\boxed{(8, 10)}}[/tex]
